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In differential topology, the jet bundle is a certain construction that makes a new smooth fiber bundle out of a given smooth fiber bundle. It makes it possible to write differential equations on sections of a fiber bundle in an invariant form. Jets may also be seen as the coordinate free versions of Taylor expansions.

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  • Haz de jets (es)
  • Jet bundle (en)
  • 节丛 (zh)
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  • 在微分几何中,节丛(jet bundle,或称射流丛、射丛)是一种特殊的构造,从给定的光滑纤维丛建立一个新的光滑纤维丛。它使得在纤维丛的截面上用一种不变形式来表达微分方程成为可能。 历史上,节丛归功于埃雷斯曼,它是嘉当的延长方法上的一个进步,该方法通过在新引入的形式化变量上加入微分形式条件的办法来以几何方式处理高阶导数。节丛有时候也称为喷射(sprays)。 (zh)
  • En topología diferencial, un haz de jets es una construcción que genera un nuevo fibrado diferenciable de un haz dado de fibras suaves. Hace posible escribir ecuaciones diferenciales en secciones de un haz de fibras en una forma invariante. Los jets también se pueden ver como las versiones de la serie de Taylor libres de coordenadas. (es)
  • In differential topology, the jet bundle is a certain construction that makes a new smooth fiber bundle out of a given smooth fiber bundle. It makes it possible to write differential equations on sections of a fiber bundle in an invariant form. Jets may also be seen as the coordinate free versions of Taylor expansions. (en)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Jet_Bundle_Image_FbN.png
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